This document discusses how to calculate the address of elements in arrays of different dimensions. It provides formulas for calculating addresses in 1D, 2D, and multi-dimensional arrays using row-major and column-major ordering. It also includes a formula for calculating the number of elements in a 1D array based on its upper and lower bounds.

1. Addresses & Size
Calculate the address of element in 1-D Array
Add= (Base Add) + i *(size of an element)
Calculate the address of element in 2-D Array
1) Row Major(a[i][j])
Add= Base Add + [ i * (total no of columns) * (size of each element)] + [ j * size of element]
2) Column Major(a[i][j])
Add= Base Add + [ j * (no. of rows total) * (size of element)] + [ i * (size of element)]
Calculate the address of element in Multi-Dimensional Array
1) Row Major
[
Add= Base Add + (size of element)* ik + nk * (ik-1 + nk-1*(………n3*(i2 + n2*i1)…))
2) Column Major
[
Add= Base Add + (size of element)* i1 + n1 * (i2 + n2*(i3 + ……… nk-1*ik)…))
Calculate no of elements in 1-D Array
N= Upper.Bound – Lower.Bound + 1
]
]